Question

The point of contact of the tangent lo the circle x² + y² = 5 at the point (1, –2) which touches the circle, x² + y² – 8x + 6y + 20 = 0 is ______.

Options

• (2, –1)

• (3, –1)

• (5, –5)

• (5, –1)

Answer 1

The point of contact of the tangent lo the circle x² + y² = 5 at the point (1, –2) which touches the circle, x² + y² – 8x + 6y + 20 = 0 is (3, –1).

Explanation:

Equation of the tangent at (1, –2) to the circle x² + y² = 5 is x – 2y = 5

Here, only point (3, –1) lies on the tangent.